A301719 Partial sums of A301718.

1, 6, 17, 34, 57, 85, 118, 157, 202, 253, 309, 370, 437, 510, 589, 673, 762, 857, 958, 1065, 1177, 1294, 1417, 1546, 1681, 1821, 1966, 2117, 2274, 2437, 2605, 2778, 2957, 3142, 3333, 3529, 3730, 3937, 4150, 4369, 4593, 4822, 5057, 5298, 5545, 5797, 6054, 6317, 6586, 6861, 7141, 7426, 7717, 8014, 8317, 8625

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301718. - Ray Chandler, Aug 30 2023

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, 1, -2, 1).

Formula

From Colin Barker, Apr 09 2018: (Start)

G.f.: (1 + x)^2*(1 + 2*x + x^2 + 2*x^3 + x^4) / ((1 - x)^3*(1 + x + x^2 + x^3 + x^4)).

a(n) = 2*a(n-1) - a(n-2) + a(n-5) - 2*a(n-6) + a(n-7) for n>6. (End)

Conjecture: a(n) ~ 14*n^2/5. - Stefano Spezia, Mar 28 2023

Crossrefs

Cf. A301718.

Sequence in context: A216892 A301711 A066486 * A056109 A023545 A038633

Adjacent sequences: A301716 A301717 A301718 * A301720 A301721 A301722

Keyword

nonn

Author

N. J. A. Sloane, Mar 26 2018

Status

approved